Metastability for the Ising Model on the hypercube

Oliver Jovanovski

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arXiv · 1508.07769

Metastability for the Ising Model on the hypercube

Oliver Jovanovski

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Abstract

We consider Glauber dynamics for the low-temperature, ferromagnetic Ising Model set on the n-dimensional hypercube. We derive precise asymptotic results for the crossover time (the time it takes for the dynamics to go from the configuration with a "-1" at every vertex, to the configuration with a "+1" at each vertex) in the limit as the inverse temperature $β\rightarrow\infty$.

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BibTeX RIS

Oliver Jovanovski. 2015-08-31. Metastability for the Ising Model on the hypercube. https://arxiv.org/abs/1508.07769

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